Question

By selling a calculator for rs 1 thousand and rs 1,500 some loss and some profit are happened respectively if loss id thrice the profit find its cost price​

Answer 1

Appropriate Question:

• By selling a calculator for Rs 1000 and Rs1500 some loss and some profit are happened respectively if loss is thrice the profit.Find its cost price.

Given:We are said that SP of a calculator is 1000 rupees and 1500 rupees and some loss and some profit are happened respectively and loss is thrice the profit.

To Find: Find the cost price.

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Let consider the cost price be x.

Since 1500>1000

So,when he sells a calculator at Rs1000,some loss happen when he sells a calculator at Rs 1500,some profit happened.

As we know

$\: \large \sf \: \: loss = cost \: price - selling \: price$

Now substitute the values

$\: \sf \: loss = x - 1000$

As we know

$\: \large\sf \: profit = selling \: price - cost \: price$

Now Substitute the values

$\: \sf \: profit = 1500 - x$

Since the loss is thrice the profit

So,

$\: \sf \: loss = 3 \times profit \\ \\ \sf \: x - 1000 =3(1500 - x) \\ \\ \sf \: x - 1000 = 4500 - 3x \\ \\ \sf \: 4x = 5500 \\ \\ \sf \: x = 1375$

So,the cost price is Rupees 1375.

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